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valentinak56 [21]
3 years ago
12

Given that the straight line 2x + 3y-10=0 intersects the x - axis at P. Find the

Mathematics
1 answer:
tino4ka555 [31]3 years ago
3 0

Answer:

P(5, 0 )

Step-by-step explanation:

Where the line crosses the x- axis the y- coordinate of the point P is zero.

Substitute y = 0 into the equation and solve for x

2x + 3(0) - 10 = 0 , that is

2x - 10 = 0 ( add 10 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Thus P = (5, 0 )

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HELP DUE IN 15 MINS!
boyakko [2]

Answer:

r = 2\sqrt{5}

(x - 3)^{2} + ( y - 2)^{2} = 20

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

r^{2} = {(3 - 5)^{2} + (2 + 2)^{2}  }

    =  (-2)^{2} + 4^{2}

    =  4 + 16 = 20

r = \sqrt{20 } = 2\sqrt{5}

Equation of circle:   (x - 3)^{2} + ( y - 2)^{2} = 20

8 0
3 years ago
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Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3​
VladimirAG [237]

Answer:

A, C, D

Step-by-step explanation:

Remember: Exponents are simply repeated multiplication.

The exponent determines how many times to multiply the base number by itself.

(\frac{4}{5} )^3=\frac{4}{5} *\frac{4}{5} *\frac{4}{5} =\frac{64}{25}

Option 'A' and 'C' apply.

Option D applies because:

\frac{4^3}{5^3} =\frac{64}{125}

3 0
3 years ago
Hillel is juggling flaming torches to raise money for charity. His initial appearance raises $500, and he raises $15, for each m
avanturin [10]
15=1
so
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4 0
3 years ago
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Factor 200t+8t^3-80t^2
valina [46]

Answer:

8t(t - 5)^2

Step-by-step explanation:

I would immediately rearrange these terms in descending order by powers of t:

8t^3 - 80t^2 + 200t

Then I'd factor out 8t:

8t(t^2 - 10 t + 25).

Finally, I'd factor the quadratic t^2 - 10 t + 25:

(t - 5)^2

and so 200t+8t^3-80t^2 in factored form is 8t(t - 5)^2.

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3 years ago
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Simplify the following: (9x - 7) - (5x + 10)
lianna [129]
(9x - 7) - (5x + 10 )
2x - 15x
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3 years ago
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